Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-05-23
Phys. Rev. E 72 (2005) 056139.
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages, 8 figures, accepted in Phys. Rev. E with some changes
Scientific paper
10.1103/PhysRevE.72.056139
By using a semi-analytical dynamical mean-field approximation previously proposed by the author [H. Hasegawa, Phys. Rev. E, {\bf 70}, 066107 (2004)], we have studied the synchronization of stochastic, small-world (SW) networks of FitzHugh-Nagumo neurons with diffusive couplings. The difference and similarity between results for {\it diffusive} and {\it sigmoid} couplings have been discussed. It has been shown that with introducing the weak heterogeneity to regular networks, the synchronization may be slightly increased for diffusive couplings, while it is decreased for sigmoid couplings. This increase in the synchronization for diffusive couplings is shown to be due to their local, negative feedback contributions, but not due to the shorten average distance in SW networks. Synchronization of SW networks depends not only on their structure but also on the type of couplings.
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